The Transitive Property of Congruence states that if ∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT, then _____.
a.∠XYZ ≅ ∠ZYX
b.∠XYZ ≅ ∠WYT
c.∠AOB ≅ ∠XYZ
d.∠AOB ≅ ∠AOB
By Transitive property ∠XYZ = ∠WYT.
What is Transitive property?The word "transitive" refers to movement. The transitive property of equality is a property that applies when there are three quantities, a, b, and c, and if a is connected to b and b is related to c by the same rule, then a and c are related to each other by the same rule.
Let's think about the numbers a = b and b = c. Because equality has the symmetric characteristic, writing a = b is equivalent to writing b = a. It follows that b = a and b = c. A must equal c and b since the amount b cannot be equal to two separate quantities.
Given:
∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT
As per the Transitive Property
<X = <Y
and ∠Y = ∠X,
then ∠X = ∠Z.
Similarly,
∠XYZ = ∠AOB
and ∠AOB = ∠WYT,
then ∠XYZ = ∠WYT.
Hence, by Transitive property ∠XYZ = ∠WYT.
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Does anyone know the Answer
How can 2x2 = x2 + 4x + 8 be set up as a system of equations?
y = x2 - 4
y = x2 + 2x + 8
y = x2
y = x2 + 4x + 8
y = 2x2
y = x2 + 4x + 8
y = x2
y = 2x + 8
please help fasti will mark brainliest
The sum of 1 and x less less than 5.
Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response. He answered 35 questions correctly and 15 questions incorrectly, so his total number of points was 35(2) + [-1/2(15)]. Which is another way to write Brett’s total number of points on the test?
Answer:
35(2) - 1/2(15)
Step-by-step explanation:
35(2) + [-1/2(15)] -----> 35(2) - 1/2(15)
take away the unnecessary extra brackets and replace the plus with a minus sign
hope this helps :)
Another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response.
From the data given in the question:
= 35(2) - 1/2(15)
= 35(2) + [-1/2(15)]
Another way to write Brett’s total number of points on the test:
= 35(2) - 1/2(15)
Thus, another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).
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Give two sets of potential sides for a triangle. One set of side lengths should be able to be used for a right triangle and the other set of side lengths should not be able to form a right triangle.
Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write to angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.
The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units: V = 5s3 If s = 1.4 units, what is the value of V? 13.72 cubic units
19.21 cubic units
21 cubic units
25 cubic units
Answer:
Step-by-step explanation:
The answer is 13.72 because 1.4^3=2.744
and 2.744*5=13.72
The total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The equation V = 5s³ represents the total volume of 5 identical boxes
s represents the each side length
We have to find the total volume
The value of s is given as 1.4
Plug in s value in V formula
V=5(1.4)³
V=5×1.4×1.4×1.4
V=13.72 cubic units
Hence, the total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.
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You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample? A) 4.75 Hours B) 5.05 Hours C) 5.25 Hours D) 5.45 Hours
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25
You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample?
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25
Mean=[tex] \frac{Sum Of Hours}{Number of Students} [/tex]
Sum Of Hours=5.5+4.25+7.75+3.5+6.25=27.25
Number of Students=5
mean=[tex] \frac{27.25}{5} [/tex]
On dividing, 27.25 by 5, we get, 5.45
So, Mean=5.45
Answer: Option (d) : Mean=5..45hours
Find 3mt(2m^2-3mt+r^2)
Identify two methods a person can use to pay his or her bills online and explain the advantages and disadvantages of each.
which statement best illustrates using the vertical line test to determine if the graph below is a function of x ?
A) the graph is not a function of x because the line x = 0 intersects the graph at two points.
B) the graph is a function of x because the line x = 5 does not intersect the graph
C) the graph is not a function of x because the line y = 0 intersects the graph at two points
D) The graph is a function of x because the line y = 5 does not intersect the graph
Answer:
A
Step-by-step explanation:
i did the quiz
(x -1) = 26 = -4x
A. -7 5/7
B. 8
C. -7
D. -5
Susie’s teacher asks her to complete the multiplication problem. 0.3 x 3.7. What’s the product?
Mr. and Mrs. Storey drove 3,200 miles in all during their vacation. Mr. Storey drove 3 times as much as Mrs. Storey. How many miles did Mr. Storey drive?
Please just put equation, this will be on my maths test and I want to understand not just get the answer.
what is 10(x-2)+(6x-6)
A Park has a pond shaped like a quadrilateral with all sides 18 feet long and at least one right angle. What geometric shape best describes the shape of the pond?
The pond is best described as a rectangle.
Explanation:The geometric shape that best describes the pond is a rectangle. A rectangle is a quadrilateral with four right angles. Since the pond has all sides of equal length and at least one right angle, it meets the criteria to be a rectangle.
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The geometric shape that best describes the shape of the pond is a square or a rectangle.
Given that the pond is shaped like a quadrilateral with all sides 18 feet long, we can immediately rule out shapes that do not have four equal sides, such as parallelograms, trapezoids, and kites. The fact that the pond has at least one right angle further narrows down the possibilities to shapes that have at least one 90-degree angle.
Since all sides are equal in length, and there is at least one right angle, the pond could either be a square (which has four right angles) or a rectangle (which has four right angles but does not necessarily have all sides equal). However, since it is specified that all sides are 18 feet long, the only quadrilateral that fits these criteria is a square.
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Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day he exercised, he walked for 10 minutes . He exercised for a total of 225 minutes last week. What is the number of minutes Devon swam each of the 5.days last week?
What is the equation of the translated function?
A. f(x) = (x – 1)2 – 5
B. f(x) = (x + 1)2 + 5
C. f(x) = (x – 5)2 – 1
D. f(x) = (x + 5)2 + 1
Yes the answer is B
The translated function is f(x) = (x - 1)² + 5.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The vertex of the original function = (0, 0)
The vertex of the translated function = (-1, 5)
Now,
f(x) → f(x + a) represents a horizontal translation of f(x)
If a > 0 then a shift to the right of a units
If a < 0 then a shift to the left of a units
Vertex = (-1, 5)
This means the translated graph has been shifted to 1 unit left.
So,
f(x) = (x - 1)²
Now,
f(x) → f(x) + c represents a vertical translation of f(x)
If c > 0 then a shift up of c units
If c < 0 then a shift down of c units
Vertex = (-1, 5)
This means,
The translated graph has been shifted 5 units up.
So,
f(x) = (x - 1)² + 5
Thus,
The translated function is
f(x) = (x - 1)² + 5
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Round each addend to the nearest tenth and find the sum.
2.08 + 1.772 + 9.125
12.8
12.9
13.0
13.1
Answer:
It's 13.0
Step-by-step explanation:
after 1 year on the job, Grady got a raise from $10.50 per hour to $11.34 per hour. what was the percent increase in his hourly wage
Grady's payements or wages for hourly is increased by 8 percent.
What is percent?A Percentage or percent, a relative value indicating hundredth parts of any quantity.
How to caluclate increase in percent?To calcualte the increase in percentage first we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100.
According to the given question.
The intial payment for one hour was $10.50
And, after one hour the payment is $11.34
⇒ The increment in the payment = $11.34 - $10.50 = $0.84
Therefore,
the percent increase in Grady's hourly wage
[tex]= \frac{increment \ in \ the \ payement}{origibal \ paynent\ } \times 100[/tex]
[tex]= \frac{0.84}{10.50} \times 100[/tex]
[tex]= 0.08 \times 100[/tex]
[tex]= 8\%[/tex]
Hence, Grady's payements or wages for hourly is increased by 8 percent.
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Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. What's the volume of her freezer?
Answer:
24 cubic feet
Step-by-step explanation:
thanks other guy
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods. Option 1: He will ask every fifth person on each English class roster. Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer. Which statement about the methods is true? Option 1 is biased. Option 2 is biased. Neither is biased. Both are biased.
The statement about the methods is true walkathon to ask teen participants about the ways they volunteer. Then the correct option is B.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods.
Option 1: He will ask every fifth person on each English class roster. This is a biased one because the best one can be skipped.
Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer. Because all the volunteers participated that can be observed.
The statement about the methods is true walkathon to ask teen participants about the ways they volunteer. Then the correct option is B.
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A prism is completely filled with 576 cubes that have edge length of ¼ in.
What is the volume of the prism?
Enter your answer in the box.
Answer:9
Step-by-step explanation:
Toni and makayla are working on a craft project.Makayla has 3 yards of ribbon and Toni has 4yards of ribben.They cut all the ribbon into pieces that are 1/4 yard long.How many pieces of ribbon do they have?
Rebecca is purchasing a house for $210,000, with a 15-year fixed-rate mortgage at 4.5% interest. She has made a 5% down payment. The house is valued at $198,000, and the local tax rate is 4.5%. Her homeowners insurance is $840 per year. What are her total monthly payments?
A. $2437.20
B. $2520.09
C. $2630.20
D. $2381.89
Answer:
D. 2381.89
Step-by-step explanation:
Answer:
D. 2381.89
Step-by-step explanation:
help....
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The counts are shown in the table below. Which proportion would predict the number of jazz songs he has stored on his MP3 player?
A) 6/20 = x/2000
B) 3/20 = x/2000
C) 2/4 = x/2000
D) 3/40 = x/2000
Answer:
B
Step-by-step explanation:
The required proportion that predicts the number of jazz songs he has stored on his MP3 player is 3/20 = x / 2000.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
From the table number of Jazz songs played = 6
Total song played = 40
Total number of songs in mp3 player = 2000
Number of jazz songs in mp 3 player
6/40 = x /2000
3/20 = x / 2000
Thus, the required proportion that predicts the number of jazz songs he has stored on his MP3 player is 3/20 = x / 2000.
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Marybeth works from home as a graphic designer. Recently she raised her hourly rate by 3% to cover increased costs. Her new hourly rate is $22.87. Find Marybeth’s previous hourly rate
ten voters are asked to rank 3 brands of shoes: A,B and C. The ten voters turn in the following ballots showing their preferences in order
Showing their preference table for these ballots
CBBCBBCBCB
BCABCABCBC
AACAACAAAA
Answer:
Answer is BCABCABCBC
Step-by-step explanation: